A 50m steel tape is used to measure the distance of the line and found to be 842.25m. Duringmeasurement, the tape is supported at the ends and midpoint under a pull of 8 kg and the observedmean temperature is 28 °C. The tape is of standard length at 22 °C and a tension of 12 kg. The crosssection area of the tape is 0.032cm2. The coefficient of the thermal expansion is 0.0000116/°Cand the modulus of elasticity of steel is 2.0x10 kg/cm2 the tape weighs 1.1kg. Determine thecorrect length of the tape.Rules:1. For significant figures and rounding off numbers, provide only the numerical value for theanswer.2. For all the computed values with decimals, use four (4) digits after the decimal.

To Find the correct length of line measured with 50 m tape.

Answered: A 50m steel tape is used to measure the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Example 1.2 (a) A 25 mm diameter bar is subjected to an axial tensile load of 100 kN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-3 mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/m2? The load can be assumed to remain constant at 100 kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m² and v = 0.3).
A circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine:(a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative).(b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative).(c) the normal strain in the circumferential direction around the outside of the disk.
The assembly shown in the figure consists of an aluminum tube AB and a steel rod BC. The rod is attached to the tube through the rigid collar at B and passes through the tube. The cross-sectional area of the rod is 75 mm2 and the cross-sectional area of the tube is 400 + UV in mm2, where UV is 99. A tensile load of 80 kN is applied to the rod. Take Est = 200 GPa for the steel rod, Eal = 70 GPa for the aluminum tube. Determine: (a) the displacement of end C with respect to end B (i.e., the elongation of the steel rod), (b) the displacement of end B with respect to the fixed end A (i.e., the shrink of the aluminum tube), (c) the displacement of the end C of the rod (i.e., (a) + (b)).
Q2)A filament 0.5m long and having a cross-sectional area of 1mm2 was stretched to breaking. If the breaking stress for the filament was found to be 109 Pa, calculate the mass which was hung on the filament to break it. Assuming the filament stretched linearly up to breaking, calculate the amount by which the filament stretched. (Young’s modulus for the material = 6 x 1010 Pa) If the assumption in (b) was justified, what might the material have been? State in one word.
A solid cube of side 1 m is kept at a room temperature of 32°C. The coefficient of linear therma expansion of the cube material is 1 x 105/°C and the bulk modulus is 200 GPa. If the cube is constrained all around and heated uniformly to 42°C, then the magnitude of volumetric (mean) stress (in MPa) induced due to heating is و او را

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